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Question Easy scientific measurement ( Physics Help and Math Help - Physics Forums Introductory Physics )
Updated: 2008-10-07 08:55:10 (1)
Easy scientific measurement

1. The problem statement, all variables and given/known data

The Shadow cast by a vertical pillar in Alexandria at noon during the summer solstice is found to be 1/8 the height of the pillar. The distance between Alexandria and Syene is 1/8 the Earth's radius. Is there a geometric connection between these two 1-to-8 ratios?

2. Relevant equations

Not sure exactly what kind of answer they are looking for here.

Answers: Easy scientific measurement ( Physics Help and Math Help - Physics Forums Introductory Physics )
Easy scientific measurement

Originally Posted by NateTheGreat
The Shadow cast by a vertical pillar in Alexandria at noon during the summer solstice is found to be 1/8 the height of the pillar. The distance between Alexandria and Syene is 1/8 the Earth's radius. Is there a geometric connection between these two 1-to-8 ratios?
Hi NateTheGreat! Welcome to PF!

You've left out that at noon during the summer solstice, the sun at Syene is directly overhead.

(I know that 'cos this is a well-known experiment by Eratosthenes in about 200 BC )

Does that help?

tiny-tim

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